Question

A simple of 100units is found to have 5ib as means,could it be regarded as a simple sample from a large population where mean is 5.64 in and pond=1.5ib

Answer 1

Answer:

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Explanation:

Given Sample size n = 100

Sample mean \(\overline{x}\)= 3.5

Population mean µ = 4

Population SD σ = 3

Now, null hypothesis H0 : µ = 4

Alternative hypothesis H1 : µ ≠ 4 (Two tail)

We take level of significance α = 5% = 0.05

The table value Zα/2 = 1.96

Test statistic

Since the alternative hypothesis is of the two-tailed test we can take |Z| = 1.667. We observe that 1.667 < 1.96 (i.e) |Z| < Zα/2 . So at a 5% level of significance, the null hypothesis H0 is accepted. Therefore, we conclude that there is no significant difference between the sample mean and the population mean